220444328 has 64 divisors (see below), whose sum is σ = 468236160. Its totient is φ = 96535296.

The previous prime is 220444319. The next prime is 220444333. The reversal of 220444328 is 823444022.

It is a happy number.

220444328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220444328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375251 + ... + 375837.

It is an arithmetic number, because the mean of its divisors is an integer number (7316190).

Almost surely, 2^220444328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220444328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234118080).

220444328 is an abundant number, since it is smaller than the sum of its proper divisors (247791832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220444328 is a wasteful number, since it uses less digits than its factorization.

220444328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 220444328 is about 14847.3677128304. The cubic root of 220444328 is about 604.0872131129.

The spelling of 220444328 in words is "two hundred twenty million, four hundred forty-four thousand, three hundred twenty-eight".